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Finding the Fourth Proportional to 8,037.70, 12,075.08 and 7,705.55

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Solution

The fourth proportional to 8,037.70, 12,075.08 and 7,705.55 is: 11,576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.70 : 12,075.08 = 7,705.55 : x
  2. Step 2: Convert to fraction form
    8,037.70/12,075.08 = 7,705.55/x
  3. Step 3: Cross multiply
    8,037.70x = 12,075.08 × 7,705.55
  4. Step 4: Simplify right side
    8,037.70x = 93,045,124.35
  5. Step 5: Solve for x
    x = 93,045,124.35/8,037.70
  6. Step 6: Final answer
    x = 11,576.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.